Question

PROTEINA levels were measured in two samples of subjects. Sample 1 consisted of 30 adult male alcoholics with ring sideroblasts in the bone marrow. Sample 2 consisted of 25 apparently healthy adult nonalcoholic males. The mean PROTEINA levels and standard deviations for the two samples were as follows:

                          ___

Sample n           x         s

1             30      340         200

2             25        40          20

On the basis of this data, test whether PROTEINA levels are higher in the represented alcoholic population than in the nonalcoholic population? Make sure you include all the five steps in the hypothesis testing questions. Hint: is this one-sided test or not?

Answer 1

To Test :-

H0 :- µ1 = µ2
H1 :- µ1 > µ2

Test Statistic :-


t = 8.167
Test Criteria :-
Reject null hypothesis if t > t(α, DF)


DF = 29
Critical value t(α, DF) = t( 0.05 , 29 ) = 1.699
t > t(α, DF) = 8.167 > 1.699
Result :- Reject Null Hypothesis

There is sufficient evidence to support the claim that PROTEINA levels are higher in the represented alcoholic population than in the nonalcoholic population.